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#526 2012-07-04 01:44:47

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Just like I said. It converges to -sqrt(3)/3. But I wasn't ae to find any case for which it would go between two values.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#527 2012-07-04 01:46:10

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

I have two questions for you:

1) Are you aware that Maxima can do as well as M on this one?

2) Do you recognize the problem?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#528 2012-07-04 01:51:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Maxima can, but my phone cannot.

It does seem familiar, but I cannot recognize it.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#529 2012-07-04 01:59:04

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Hi;

It does seem familiar, but I cannot recognize it.

Hahhahahahahahhahahahha! That is much better than anything T has ever said to me. Very imaginative and darn good comedy.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#530 2012-07-04 02:00:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Why is it so funny?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#531 2012-07-04 02:04:34

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Hmmmm. You expect me to believe that you are unaware of its origins? I was born on Sunday but it was not last Sunday.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#532 2012-07-04 02:23:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Yes. neutral


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#533 2012-07-04 02:27:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Then something is not right in Denmark.

Anyways, what can you say about the limit of that sequence now?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#534 2012-07-04 02:31:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Can you first tell me where that sequence should be familiar from?
It would seem that the limit of the sequence is either plus or minus sqrt(3)/3.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#535 2012-07-04 02:35:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Can a sequence have two limits?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#536 2012-07-04 02:36:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Yes. Based on its initial conditions.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#537 2012-07-04 02:43:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Were they provided in the question?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#538 2012-07-04 02:47:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

No.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#539 2012-07-04 02:51:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Can we prove that those are the only two possibilities?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#540 2012-07-04 02:54:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

There is also a possibility of initial conditions leading to a sum of 3 consecutive elements to be 0.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#541 2012-07-04 03:04:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

I do not see how that is possible.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#542 2012-07-04 03:16:15

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

What about initial conditions 17/6,-10/3 and 1?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#543 2012-07-04 03:24:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

That converges to 0.57735026918962576450915


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#544 2012-07-04 04:48:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Can I see the 5th term of the sequence?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#545 2012-07-04 05:20:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#546 2012-07-04 05:21:58

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Please keep them in the order given.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#547 2012-07-04 05:22:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

That is a(0), a(1) and a(2) etcetera.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#548 2012-07-04 05:31:40

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

Please put:
a(0)=17/6
a(1)=-10/3
a(2)=1


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#549 2012-07-04 05:39:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,042

Re: Limits!

Okay, the fourth one was division by zero. It is clear that unless the question specifies something about the initial conditions it is kaboobly doo.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#550 2012-07-04 05:45:11

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Limits!

That's what I was saying. I will see if anything is true for triplets that end up giving a zero.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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